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Finding the Fourth Proportional to 2,434.33, 3,649.33 and 894.97

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Solution

The fourth proportional to 2,434.33, 3,649.33 and 894.97 is: 1,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.33 : 3,649.33 = 894.97 : x
  2. Step 2: Convert to fraction form
    2,434.33/3,649.33 = 894.97/x
  3. Step 3: Cross multiply
    2,434.33x = 3,649.33 × 894.97
  4. Step 4: Simplify right side
    2,434.33x = 3,266,040.87
  5. Step 5: Solve for x
    x = 3,266,040.87/2,434.33
  6. Step 6: Final answer
    x = 1,341.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.